Is angle UVW congruent to angle XYZ if so name the postulate that applies?

To determine if angle UVW is congruent to angle XYZ, we need to know if they have the same measure or if they are formed by the same lines or points. If they are both measured as equal or if they are vertical angles, then they are congruent. The postulate that applies in such a case is the Angle Congruence Postulate, which states that if two angles have the same measure, they are congruent.